# How do you graph the polar equation #r=sin4theta#?

##### 1 Answer

Jul 18, 2018

See the graph and the explanation.

#### Explanation:

If p an q are co-prime positive integers, the number of petals

created by either

Here.

and obtain the Cartesian form of

The Socratic graph is immediate.

graph{ ( x^2 + y^2 )^2.5 - 4 x y ( x^2 - y^2 ) = 0[-2.2 2.2 -1.1 1.1] }

The number of petals of

graph{3xy(x^2-y^2)-4(x^2+y^2)^2sqrt(1-(x^2+y^2))(1-2(x^2+y^2))=0[-4 4 -2 2]}.